A method to couple bond-based peridynamic theory and displacement extrapolation method for calculation of stress intensity factor in isotropic plates with crack and hole

Abstract

This paper introduces a new approach to calculate stress intensity factors based on a combination of ordinary bond-based Peridynamic Theory and Displacement Extrapolation Method (DEM). To demonstrate the capability of the proposed approach, different benchmark problems are considered including plate with a central crack, plate with two offset edge crack and plate with crack and hole. Good agreements between proposed method and reference solutions indicate the high performance and capability of the proposed method in calculating the stress intensity factor in plates with discontinuities. It can also be stated that the stress intensity factor in isotropic plates with crack and hole depends on the length of the crack and hole radius and their location and number, and by changing these factors, the stress intensity factor in the body will also change.